Space of modular forms of level 3696, weight 2, and Character 3696.ek

• Label: 3696.2.ek
• Level: $3696$
• Weight: $2$
• Character orbit: 3696.ek
• Rep. character: $\chi_{3696}(1013,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $2560$
• Sturm bound: $1536$

Defining parameters

Level:	\( N \)	\(=\)	\( 3696 = 2^{4} \cdot 3 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3696.ek (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 336 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(1536\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3696, [\chi])\).

	Total	New	Old
Modular forms	3104	2560	544
Cusp forms	3040	2560	480
Eisenstein series	64	0	64

Trace form

\( 2560 q + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3696, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

Decomposition of \(S_{2}^{\mathrm{old}}(3696, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3696, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(336, [\chi])\)\(^{\oplus 2}\)